Least Common Multiple of 186/85, 924/50, 361/126

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 186/85, 924/50, 361/126 quickly i.e. 10340484 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 186/85, 924/50, 361/126 is 10340484.

LCM(186/85, 924/50, 361/126) = 10340484

LCM of 186/85, 924/50, 361/126

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 186/85,924/50,361/126

Given numbers are 186/85,924/50,361/126

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 186,924,361

Least Common Multiple of Numerators i.e. LCM of 186,924,361 is 10340484.

GCF of Denominators means GCF of 85,50,126 as per the given fractions.

GCF of 85,50,126 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 186,924,361

LCM of Fractions 186/85,924/50,361/126 is 10340484

2 186, 924, 361
3 93, 462, 361
31, 154, 361

∴ So the LCM of the given numbers is 2 x 3 x 31 x 154 x 361 = 10340484

Least Common Multiple of 186,924,361 with GCF Formula

Least Common Multiple of 186,924,361 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 186,924,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(186,924,361) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(186,924,361) x common factors =1 x 6 = 6

LCM(186,924,361) = ( 186 × 924 × 361 ) / 6

LCM(186,924,361) = 62042904 / 6

LCM(186,924,361) = 10340484


Lets's calculate GCF of 85,50,126

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10340484/1

Therefore the LCM of Fractions 186/85,924/50,361/126 is 10340484

Greatest Common Factor of 85,50,126 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,50,126 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Greatest Common Factor

We found the factors 85,50,126 . The biggest common factor number is the GCF number.
So the greatest common factor 85,50,126 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 186/85, 924/50, 361/126

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 186/85, 924/50, 361/126?

Answer: LCM of Numerators as per given numbers 186/85, 924/50, 361/126 is

LCM of Numerators i.e. for 186,924,361 is 10340484

GCF of denominators i.e. for 85,50,126 is 1.

Thus, LCM of Fractions is 10340484.Finally, LCM of Fractions for 186/85, 924/50, 361/126 is 10340484.